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4003769088 = 2835115851
BaseRepresentation
bin1110111010100100…
…1010101100000000
3101100000210112200000
43232221022230000
531144431102323
61501142400000
7201134322114
oct35651125400
911300715600
104003769088
111775028a80
12938a30000
134ba641147
1429da55744
1518676be43
hexeea4ab00

4003769088 has 216 divisors, whose sum is σ = 13061944896. Its totient is φ = 1213056000.

The previous prime is 4003769083. The next prime is 4003769123. The reversal of 4003769088 is 8809673004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003769083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681363 + ... + 687213.

Almost surely, 24003769088 is an apocalyptic number.

4003769088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530972448).

4003769088 is an abundant number, since it is smaller than the sum of its proper divisors (9058175808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4003769088 is an equidigital number, since it uses as much as digits as its factorization.

4003769088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4003769088 is about 63275.3434443465. The cubic root of 4003769088 is about 1587.8994833030.

The spelling of 4003769088 in words is "four billion, three million, seven hundred sixty-nine thousand, eighty-eight".